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Finding the Fourth Proportional to 762.65, 1,052.51 and 575.81

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Solution

The fourth proportional to 762.65, 1,052.51 and 575.81 is: 794.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.65 : 1,052.51 = 575.81 : x
  2. Step 2: Convert to fraction form
    762.65/1,052.51 = 575.81/x
  3. Step 3: Cross multiply
    762.65x = 1,052.51 × 575.81
  4. Step 4: Simplify right side
    762.65x = 606,045.78
  5. Step 5: Solve for x
    x = 606,045.78/762.65
  6. Step 6: Final answer
    x = 794.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.